Ben, Jeff, Jon, lists,

1)  Can we say that there can be many triads, depending one how one
defines them, but the Peircean triad is special and identical with a
mathematical category ?

2) "Triad" is a system of three entities, while "trichotomy" is the
process of dividing a system into three parts, either physically or
mentally, the latter case of which is called "prescinding" by Peirce.

With all the best.

Sung
__________________________________________________
Sungchul Ji, Ph.D.
Associate Professor of Pharmacology and Toxicology
Department of Pharmacology and Toxicology
Ernest Mario School of Pharmacy
Rutgers University
Piscataway, N.J. 08855
732-445-4701

www.conformon.net



> Jeff D., Jon,
>
> I'd just like to note that the questions of triads versus trichotomies
> is something that we've discussed a number of times at peirce-l over the
> years. For my part, I like using those words in the way that Jon and
> others have recommended - 'triad' for the triadically related sign,
> object, interpretant, which are involved as the correlates in genuinely
> triadic action, and 'trichotomy' for three-fold classifications,
> especially categorially correlated ones such as qualisign, sinsign,
> legisign. However, it should be noted that there are passages in which
> Peirce calls trichotomies 'triads', and other passages by Peirce that
> make no sense unless one follows the 'triad'-versus-'trichotomy'
> distinction. I don't have the quotes handy but we've been over it many
> times. A separate issue is the one about whether the
> sign-object-interpretant triad is also categorially correlated trichotomy.
>
> Best, Ben
>
> On 10/1/2014 11:10 PM, Jeffrey Brian Downard wrote:
>
>> Hello Jon,
>>
>> If you have links to the earlier discussions of the distinction between
>> "triadicities" and "trichotomies", I'd like to take a look.  In addition
>> to being interested in distinction you are making, I'd like to read more
>> about how you are thinking about the projection of the triadic relations
>> onto the mutually exclusive and exhaustive partitions of a domain.
>>
>> In his monograph <Reading Peirce Reading>, Richard Smyth makes much of
>> the conceptions of the restrictions and limitations that apply to a
>> given domain of inquiry.  I'd like to see how your account of the
>> partitions of the domain compares to his reconstruction of some
>> arguments Peirce develops in "How to Make Our Ideas Clear."
>>
>> Thanks,
>>
>> Jeff
>>
>> Jeff Downard
>> Associate Professor
>> Department of Philosophy
>> NAU
>> (o) 523-8354
>> ________________________________________
>> From: Jon Awbrey [jawb...@att.net]
>> Sent: Wednesday, October 01, 2014 7:44 PM
>> To: Peirce List 1
>> Subject: [PEIRCE-L] Re: Natural Propositions • Selected Passages
>



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